The aim of studying and bibliography

The main aim of study: To familiarize the students with the notion of the financial and physical investment as well as with methods of evaluation of their effectiveness. Upon completion of this module the student should know the indicators and methods (static and dynamic) of evaluate of the effectiveness of the investments.

The general information about the module: The module is implemented in the second semester. It consists of 30 hours of lectures and 30 hours of tutorials.

Bibliography required to complete the module

Bibliography used during lectures

1	M. Sierpińska, T. Jachna	Ocena przedsiębiorstwa według standardów światowych	PWN, Warszawa.	2006
2	M. Sobczyk	Matematyka finansowa	Agencja Wydawnicza PLACET, Warszawa.	2011
3	E. Nowak, E. Pielichaty, M. Poszwa	Rachunek opłacalności inwestowania	Polskie Wydawnictwo Ekonomiczne, Warszawa.	1999
4	W. Rogowski	Rachunek efektywności przedsięwzięć inwestycyjnych	Oficyna Ekonomiczna, Oddział Polskich Wydawnictw Profesjonalnych Sp. z o.o., Kraków.	2004
5	M. Podgórska, J. Klimkowska	Matematyka finansowa	PWN, Warszawa.	2005
6	K. Jajuga, T. Jajuga	Inwestycje: instrumenty finansowe, ryzyko finansowe, inżynieria finansowa	PWN, Warszawa.	1999

Bibliography used during classes/laboratories/others

1	M. Sobczyk	Matematyka finansowa	Agencja Wydawnicza PLACET, Warszawa.	2011
2	M. Podgórska, J. Klimkowska	Matematyka finansowa	PWN, Warszawa.	2005
3	M. Sierpińska, T. Jachna	Ocena przedsiębiorstwa według standardów światowych	PWN, Warszawa.	2006

Basic requirements in category knowledge/skills/social competences

Formal requirements: Basic knowledge of mathematics of finance.

Basic requirements in category knowledge: A student has mathematical knowledge which allows him to understand mathematical terms which are lectured.

Basic requirements in category skills: Ability to use fundamental mathematical tools in order to solve a task.

Basic requirements in category social competences: A student is prepared to undertake substantiated mathematical operations in order to solve a task.

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with OEK
01	knows how to evaluate physical investment by using static methods for assessing effectiveness: payback period, accounting rate of return, calculus of break even points, sensitivity analysis	lecture, tutorials	test	K_W002+ K_U002+ K_U016+	W01++ U03+ U05+
02	knows how to evaluate physical investment or financial investment by using dynamic methods for assessing effectiveness: net present value, internal rate of return	lecture, tutorials	test	K_W002+ K_W004+ K_U002+ K_U016+ K_K001+ K_K002+ K_K003+ K_K004+	W01++ U03+ U05+ U07+ K01+ K02+ K03+ K04+ K05+ K06+ K07+
03	knows how to describe financial investment by using deterministic sequence of payments	lecture, tutorials	test	K_W002+ K_U002+ K_U016+	W01++ U03+ U05+

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
2	TK01	The notion of physical investment and financial investment. Investment project.	W01, C01	MEK01 MEK02 MEK03
2	TK02	Static methods of evaluation of effectiveness of investments: payback period, accounting rate of return, calculus of break even points (quantity and value break even point), sensitivity analysis (margin of safety of the investment project).	W02, W03, W04, W05, C02, C03, C04, C05	MEK01
2	TK03	Dynamic methods of evaluation of effectiveness of investments: net present value of physical investment, properties of net present value, net present value of physical investment taking into account risk, internal rate of return and its properties, sufficient conditions for the existence of internal rate of return, modified internal rate of return of physical investment; profitability index of physical investments.	W06, W07, W08, W09, C05, C06, C07, C08	MEK02
2	TK04	Test based on the materials covered during lectures and tutorials.	C09	MEK01 MEK02
2	TK05	Financial investment described by deterministic sequence of payments.	W10, C10	MEK03
2	TK06	Dynamic methods of evaluation of effectiveness of investments: net present value of financial investment, properties of net present value, purchase coupon bonds and evaluation of investment by using net present value, internal rate of return and its properties, sufficient conditions for the existence of internal rate of return, internal rate of return for bonds; external rate of return, average duration of financial investments, properties of average duration, the relation between average duration and flexibility of financial investments, average duration of bonds, payback period of financial investments and its assessment.	W11, W12, W13, W14, W15, C11, C12, C13, C14	MEK02 MEK03
2	TK07	Test based on the materials covered during lectures and tutorials.	C15	MEK02 MEK03

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 2)		contact hours: 30.00 hours/sem.	complementing/reading through notes: 5.00 hours/sem.
Class (sem. 2)	The preparation for a Class: 15.00 hours/sem. The preparation for a test: 10.00 hours/sem.	contact hours: 30.00 hours/sem.	Finishing/Studying tasks: 15.00 hours/sem.
Advice (sem. 2)	The preparation for Advice: 2.00 hours/sem.	The participation in Advice: 4.00 hours/sem.
Credit (sem. 2)

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Lecture	A credit for the lecture is based on attendance at the lectures.
Class	A credit for the tutorials is based on the results of two tests and oral answers.
The final grade	The final grade is a credit for the tutorials.

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: no